12582739215648 has 288 divisors, whose sum is σ = 42230824796160. Its totient is φ = 3477634352640.

The previous prime is 12582739215647. The next prime is 12582739215649. The reversal of 12582739215648 is 84651293728521.

It is a happy number.

12582739215648 is a `hidden beast` number, since 1 + 2 + 58 + 2 + 7 + 392 + 156 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (12582739215647) and next prime (12582739215649).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×12582739215648³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12582739215647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152886573 + ... + 152968851.

It is an arithmetic number, because the mean of its divisors is an integer number (146634808320).

Almost surely, 2^{12582739215648} is an apocalyptic number.

12582739215648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12582739215648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21115412398080).

12582739215648 is an abundant number, since it is smaller than the sum of its proper divisors (29648085580512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12582739215648 is a wasteful number, since it uses less digits than its factorization.

12582739215648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84780 (or 84769 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 12582739215648 in words is "twelve trillion, five hundred eighty-two billion, seven hundred thirty-nine million, two hundred fifteen thousand, six hundred forty-eight".